Is their any reaction other then cyanide reaction which can be used for the differentiation of `Cu^(2+)` and `Cd^(2+)` ions ?

Explanation

Yes.By the reaction of ammonia according to the following reactions.
`Cu^(2+)+4NH_(3)to[Cu(NH_(3))_(4)]^(2+)` (deep blue solution)
`Cu^(2+)+4NH_(3)to[Cu(NH_(3))_(4)]^(2+)` (colourless solution)